1
Department of Advanced Mathematical Science, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India
(palanimaths86@gmail.com)
2
Department of Mathematics, Bharath Institute of Higher Education and Research, Tamil Nadu, Chennai-600073, India
(arulmozhiems@gmail.com)
3
Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand
(aiyared.ia@up.ac.th)
4
Laboratory of Information Processing, Faculty of Science Ben M’Sik, Universit´s Hassan II, BP 7955 Casablanca, Morocco
(broumisaid78@gmail.com)
Abstract :
In this research article, we introduce the notions of interval valued Q-neutrosophic subbisemirings (IVQNSSBSs), level sets of an IVQNSSBS and interval valued Q-neutrosophic normal subbisemirings (IVQNSNSBSs) of bisemirings. Let Y ⃗ be an interval valued Q-neutrosophic set (IVQNS set) in a bisemiring 〆. Prove that Y ⃗ is an IVQNSSBS of S if and only if all nonempty level set Ξ(t,s) ⃗ is a subbisemiring (SBS) of S for t, s ∈ D[0, 1]. Let Y ⃗ be an IVQNSSBS of a bisemiring 〆 and V ⃗ be the strongest interval valued Qneutrosophic relation of 〆. Prove that Y ⃗ is an IVQNSSBS of S if and only if V ⃗ is an IVQNSSBS of 〆 × 〆. We illustrate homomorphic image of IVQNSSBS is an IVQNSSBS. Prove that homomorphic preimage of IVQNSSBS is an IVQNSSBS. Examples are given to demonstrate our findings.
Keywords :
interval valuedQ-neutrosophic subbisemiring; interval valuedQ-neutrosophic normal subbisemiring;
subbisemiring; homomorphism.
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| Style | # |
|---|---|
| MLA | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi. "New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings." International Journal of Neutrosophic Science, Vol. 20, No. 1, 2023 ,PP. 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |
| APA | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi. (2023). New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |
| Chicago | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi. "New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings." Journal of International Journal of Neutrosophic Science, 20 no. 1 (2023): 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |
| Harvard | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi. (2023). New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings. Journal of International Journal of Neutrosophic Science, 20 ( 1 ), 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |
| Vancouver | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi. New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings. Journal of International Journal of Neutrosophic Science, (2023); 20 ( 1 ): 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |
| IEEE | M. Palanikumar, K. Arulmozhi, Aiyared Iampan, Said Broumi, New algebraic extension of interval valued Q-neutrosophic normal subbisemirings of bisemirings, Journal of International Journal of Neutrosophic Science, Vol. 20 , No. 1 , (2023) : 106-118 (Doi : https://doi.org/10.54216/IJNS.200109) |